455766086160 has 960 divisors, whose sum is σ = 1940590080000. Its totient is φ = 93117911040.

The previous prime is 455766086129. The next prime is 455766086177. The reversal of 455766086160 is 61680667554.

455766086160 is a `hidden beast` number, since 4 + 5 + 576 + 6 + 0 + 8 + 6 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 455766086097 and 455766086106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1202548851 + ... + 1202549229.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448000).

Almost surely, 2^455766086160 is an apocalyptic number.

455766086160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455766086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970295040000).

455766086160 is an abundant number, since it is smaller than the sum of its proper divisors (1484823993840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455766086160 is a wasteful number, since it uses less digits than its factorization.

455766086160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 455766086160 in words is "four hundred fifty-five billion, seven hundred sixty-six million, eighty-six thousand, one hundred sixty".